{"id":"https://openalex.org/W2006173381","doi":"https://doi.org/10.1016/j.camwa.2015.02.022","title":"Error estimates of the weakly over-penalized symmetric interior penalty method for two variational inequalities","display_name":"Error estimates of the weakly over-penalized symmetric interior penalty method for two variational inequalities","publication_year":2015,"publication_date":"2015-03-22","ids":{"openalex":"https://openalex.org/W2006173381","doi":"https://doi.org/10.1016/j.camwa.2015.02.022","mag":"2006173381"},"language":"en","primary_location":{"id":"doi:10.1016/j.camwa.2015.02.022","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.camwa.2015.02.022","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103118331","display_name":"Yuping Zeng","orcid":"https://orcid.org/0000-0003-4183-2682"},"institutions":[{"id":"https://openalex.org/I160391749","display_name":"Jiaying University","ror":"https://ror.org/018jdfk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I160391749"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuping Zeng","raw_affiliation_strings":["School of Mathematics, Jiaying University, Meizhou, 514015, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jiaying University, Meizhou, 514015, China","institution_ids":["https://openalex.org/I160391749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034304672","display_name":"Jinru Chen","orcid":"https://orcid.org/0000-0002-2761-2926"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinru Chen","raw_affiliation_strings":["Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023 China"],"affiliations":[{"raw_affiliation_string":"Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023 China","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100615167","display_name":"Wang Feng","orcid":"https://orcid.org/0000-0003-2687-7161"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Wang","raw_affiliation_strings":["Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023 China"],"affiliations":[{"raw_affiliation_string":"Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023 China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103118331"],"corresponding_institution_ids":["https://openalex.org/I160391749"],"apc_list":{"value":3480,"currency":"USD","value_usd":3480},"apc_paid":null,"fwci":2.3425,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.86823387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"69","issue":"8","first_page":"760","last_page":"770"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8876525163650513},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8300135135650635},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.7231220006942749},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6834985017776489},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5952076315879822},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5721712112426758},{"id":"https://openalex.org/keywords/obstacle-problem","display_name":"Obstacle problem","score":0.5670070648193359},{"id":"https://openalex.org/keywords/obstacle","display_name":"Obstacle","score":0.5041512250900269},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3867526054382324}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8876525163650513},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8300135135650635},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.7231220006942749},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6834985017776489},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5952076315879822},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5721712112426758},{"id":"https://openalex.org/C132369183","wikidata":"https://www.wikidata.org/wiki/Q3406250","display_name":"Obstacle problem","level":3,"score":0.5670070648193359},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.5041512250900269},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3867526054382324},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.camwa.2015.02.022","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.camwa.2015.02.022","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1965559757","display_name":null,"funder_award_id":"11301275","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8596170719","display_name":null,"funder_award_id":"11371199","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W387445664","https://openalex.org/W1513782764","https://openalex.org/W1516681311","https://openalex.org/W1520204308","https://openalex.org/W1963566961","https://openalex.org/W1963652405","https://openalex.org/W1963948095","https://openalex.org/W1967077838","https://openalex.org/W1969353416","https://openalex.org/W1988443077","https://openalex.org/W1989895848","https://openalex.org/W1995699044","https://openalex.org/W2032620133","https://openalex.org/W2041983444","https://openalex.org/W2069527397","https://openalex.org/W2070855413","https://openalex.org/W2074987839","https://openalex.org/W2116579948","https://openalex.org/W2129977146","https://openalex.org/W2130350269","https://openalex.org/W2147291639","https://openalex.org/W2149216460","https://openalex.org/W2254273306","https://openalex.org/W2327295462","https://openalex.org/W2525576073","https://openalex.org/W2587229243","https://openalex.org/W2616717838","https://openalex.org/W2735401212","https://openalex.org/W2985272081","https://openalex.org/W3204708751","https://openalex.org/W6679326641","https://openalex.org/W6740796262"],"related_works":["https://openalex.org/W1989743438","https://openalex.org/W1993397232","https://openalex.org/W1482810786","https://openalex.org/W1969086070","https://openalex.org/W4253224454","https://openalex.org/W4238417450","https://openalex.org/W107811838","https://openalex.org/W1518141773","https://openalex.org/W171600397","https://openalex.org/W2998793487"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}